# How do you differentiate #y= (5x)/((tanx)(cotx))#?

##### 3 Answers

Apr 13, 2015

5

tan x * cot x is simply 1, because cot x equals

Apr 13, 2015

If you don't think first (before you start) you'll use the quotient rule (with the product rule to differentiate the denominator).

Take a few seconds to think, and to ask:

Can I rewrite this **before** I differentiate to make my life easier?

That means that

So,

Apr 13, 2015

As

And

So,

Differentiating both sides with respect to 'x'